13057789248 has 448 divisors, whose sum is σ = 45880934400. Its totient is φ = 3563274240.

The previous prime is 13057789229. The next prime is 13057789253. The reversal of 13057789248 is 84298775031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13057789194 and 13057789203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36372493 + ... + 36372851.

It is an arithmetic number, because the mean of its divisors is an integer number (102412800).

Almost surely, 2^13057789248 is an apocalyptic number.

13057789248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13057789248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22940467200).

13057789248 is an abundant number, since it is smaller than the sum of its proper divisors (32823145152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13057789248 is a wasteful number, since it uses less digits than its factorization.

13057789248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 13057789248 in words is "thirteen billion, fifty-seven million, seven hundred eighty-nine thousand, two hundred forty-eight".